Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
Answer:
∠M
Step-by-step explanation:
∠M is the only vertex that does not already have an indicated angle. There are three vertexes, being 90° at ∠K (the box-like figure means it is a right angle, therefore 90°) , 61° at ∠N , and ∠M, which does not have a given angle.
Answer:
y^5 ÷ y^3 * y^2 = y^4
Step-by-step explanation:
https://www.symbolab.com/solver/factor-calculator/Simplify%20y%5E%7B5%7D%5Cdiv%20y%5E%7B3%7D%C3%97y%5E%7B2%7D%20
(use that link if you want to see the work for yourself)
:)
Answer:
One. It is a = 7/3
Step-by-step explanation:
Let's simplify the equation 6a − 3a − 6 = −2 + 3 by combining like terms:
3a - 6 = 1
Adding 6 to both sides, we get:
3a = 7.
Dividing both sides by 3, we get
a = 7/3.
This equation has ONE solution, which is a = 7/3.
Answer:
Simplest form = 4<em>z </em>+ 21
Case 1: True, Case II: false and Case III: true
Step-by-step explanation:
18<em>z </em>- 7( -3 + 2z)
= 18<em>z</em> + 21 - 14z
= 18<em>z</em> -14z + 21
= 4<em>z </em>+ 21
So, in the above expression we have two terms. First term is 4z and second term is 21.
So the first case is true. As the expression has two terms.
The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.
The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.
